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Finding the Fourth Proportional to 33,549.94, 50,332.29 and 10,178.20

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Solution

The fourth proportional to 33,549.94, 50,332.29 and 10,178.20 is: 15,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,549.94 : 50,332.29 = 10,178.20 : x
  2. Step 2: Convert to fraction form
    33,549.94/50,332.29 = 10,178.20/x
  3. Step 3: Cross multiply
    33,549.94x = 50,332.29 × 10,178.20
  4. Step 4: Simplify right side
    33,549.94x = 512,292,114.08
  5. Step 5: Solve for x
    x = 512,292,114.08/33,549.94
  6. Step 6: Final answer
    x = 15,269.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.